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Finding the Fourth Proportional to 130,396.98, 179,905.77 and 73,027.74

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Solution

The fourth proportional to 130,396.98, 179,905.77 and 73,027.74 is: 100,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,396.98 : 179,905.77 = 73,027.74 : x
  2. Step 2: Convert to fraction form
    130,396.98/179,905.77 = 73,027.74/x
  3. Step 3: Cross multiply
    130,396.98x = 179,905.77 × 73,027.74
  4. Step 4: Simplify right side
    130,396.98x = 13,138,111,796.06
  5. Step 5: Solve for x
    x = 13,138,111,796.06/130,396.98
  6. Step 6: Final answer
    x = 100,754.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.